668360 has 96 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 201600.

The previous prime is 668347. The next prime is 668407. The reversal of 668360 is 63866.

668360 = T₄₆₉ + T₄₇₀ + ... + T₄₇₄.

It is an unprimeable number.

668360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21545 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁶⁶⁸³⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

668360 is an abundant number, since it is smaller than the sum of its proper divisors (1301560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668360 is a wasteful number, since it uses less digits than its factorization.

668360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 668360 is about 817.5328739568. The cubic root of 668360 is about 87.4319470857.

The spelling of 668360 in words is "six hundred sixty-eight thousand, three hundred sixty".